What is the Greatest Common Factor of 63998 and 64009?

Greatest common factor (GCF) of 63998 and 64009 is 11.

GCF(63998,64009) = 11

We will now calculate the prime factors of 63998 and 64009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63998 and 64009.

How to find the GCF of 63998 and 64009?

We will first find the prime factorization of 63998 and 64009. After we will calculate the factors of 63998 and 64009 and find the biggest common factor number .

Step-1: Prime Factorization of 63998

Prime factors of 63998 are 2, 11, 2909. Prime factorization of 63998 in exponential form is:

63998 = 2¹ × 11¹ × 2909¹

Step-2: Prime Factorization of 64009

Prime factors of 64009 are 11, 23. Prime factorization of 64009 in exponential form is:

64009 = 11² × 23²

Step-3: Factors of 63998

List of positive integer factors of 63998 that divides 63998 without a remainder.

1, 2, 11, 22, 2909, 5818, 31999

Step-4: Factors of 64009

List of positive integer factors of 64009 that divides 63998 without a remainder.

1, 11, 23, 121, 253, 529, 2783, 5819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63998 and 64009. The biggest common factor number is the GCF number.
So the greatest common factor 63998 and 64009 is 11.

Also check out the Least Common Multiple of 63998 and 64009